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Finding the Fourth Proportional to 167,032.65, 250,490.61 and 78,327.93

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Solution

The fourth proportional to 167,032.65, 250,490.61 and 78,327.93 is: 117,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,032.65 : 250,490.61 = 78,327.93 : x
  2. Step 2: Convert to fraction form
    167,032.65/250,490.61 = 78,327.93/x
  3. Step 3: Cross multiply
    167,032.65x = 250,490.61 × 78,327.93
  4. Step 4: Simplify right side
    167,032.65x = 19,620,410,965.74
  5. Step 5: Solve for x
    x = 19,620,410,965.74/167,032.65
  6. Step 6: Final answer
    x = 117,464.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.